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Finding the Fourth Proportional to 541.70, 812.93 and 217.10

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Solution

The fourth proportional to 541.70, 812.93 and 217.10 is: 325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.70 : 812.93 = 217.10 : x
  2. Step 2: Convert to fraction form
    541.70/812.93 = 217.10/x
  3. Step 3: Cross multiply
    541.70x = 812.93 × 217.10
  4. Step 4: Simplify right side
    541.70x = 176,481.95
  5. Step 5: Solve for x
    x = 176,481.95/541.70
  6. Step 6: Final answer
    x = 325.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.